Answers
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
Related Questions
Which of these expressions is equivalent to?
Number 4
Answers
Ms Patel purchased some pliers, wrenches, and chisel sets for her shop. She bought twice as many pliers that cost $17.50 each as wrenches that cost $21.50 each. She bought 3 fewer chisel sets than pliers. How many of each tool did Ms Patel buy if she paid a total of $141 and the price of each chisel set is $28?
Answers
Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.
Step-by-step explanation:First, make a ratio. For every 2 wrenches, she bought 4 pliers and 1 chisel set. This ratio would be written as (in pliers:wrenches:chisels)4:2:1
Then, multiply each of these numbers by their price, and add them together.PLIERS: 4 × 17.50 = $70
WRENCHES: 2 × 21.50 = $43
CHISEL SETS: 1 x 28 = $28
TOTAL = $70 + $43 + $28 = $141
As this adds up to $141, this shows that she bought 4 pliers, 2 wrenches and 1 chisel set.Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.
I hoped this helped!
Find the value of 0 and round to the nearest whole degree
Answers
Answer:
57°
Step-by-step explanation:
[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]
Like terms need to have what
Answers
SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka
Answer:
The same letter lol
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit
$10,000 each year into the account, which pays 1.7% interest, compounded annually.
a. How much will be in the account in 15 years?
b. How much interest would be earned?
Please put how to work it out!!!!
Answers
9514 1404 393
Answer:
a) $169,234.59
b) $19,234.59
Step-by-step explanation:
The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?
The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.
__
a) Assuming an "annuity", the formula is ...
A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years
A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance
__
b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...
$169,234.59 -150,000 = $19,234.59 . . . . interest earned
What is the product of (9)(-9)-1)?
-81
-1
1
81
Answers
(9)(-9)=-81
(-81)(-1)=81
negative * negative = positive
I need help please, this is homework
Answers
Answer:
-1 = 11
0 = 13
1 = 15
2 = 17
5 = 23
Step-by-step explanation:
2 (-1) +13 = 11
2 (0) +13 = 13
2 (1) +13 = 15
2 (2) +13 = 17
2 (5) +13 = 23
Solve the inequality –1 > –2(x – 4) – 5(4x – 7).
Answers
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]
[tex]–1 > –2x + 8 –20x + 35[/tex]
[tex]–1 > - 22x + 43[/tex]
[tex] - 1 - 43 > - 22x[/tex]
[tex] - 44 > - 22x[/tex]
[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]
[tex]2 < x[/tex]
[tex]x > 2[/tex]
omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture
Answers
Answer:
Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Step-by-step explanation:
We need to multiply the terms and find the answers
First we multiply 2 with 0.23, then we multiply 1 with 0.23
0.23
x 0.12
-------------
046
0230
--------------
.0276
Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.
Counting of decimal will start from the units place.
So, Product for A = 046
Product for B = 0230
Sum for C = 0.0276
How? Just how I'm horrible at math
Answers
Answer:
c)[tex] \frac{x + 2}{x - 3} . \frac{4}{x + 2} [/tex]Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Answers
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
Show 1 1/4 on a number line out of 4
Answers
What is an equation of the line that passes through the points (-3,-1) and
(6,2)? Put your answer in fully reduced form.
Answers
Answer:
y=1/3x
When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.
Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?
Answers
Step-by-step explanation:
So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are
3 * 2 * 2 possible combinations
For example:
S = 3 sizes
F = 2 flavours
T = 2 toppings
Then there are 3 * 2 * 2 = 12 possible combinations
DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x
Answers
Answer:
x = 53
Step-by-step explanation:
The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:
5x - 3 = (2x + 25)2
multiply
5x - 3 = 4x + 50
ad 3 to both sides
5x = 4x + 53
subtract 4x from both sides
x = 53
Input into the equation to check:
5x - 3 = (2x + 25)2
5(53) - 3 = (2(53) + 25)2
265 - 3 = (106 + 25)2
262 = (131)2
262 = 262, it's correct :)
Answer:
Step-by-step explanation:
There are 3 times as many children as adults at the zoo. Complete the table with possible combinations of adults and children and write an equation that represents all the possible combinations
Answers
Answer:
Step-by-step explanation:
Adults = x, Children =y
3y=x
Each pair of figures is similar. Find the missing length. Round to the nearest tenth where necessary.
Answers
Answer:
x=5 and n=36
Step-by-step explanation:
For the first question: 32/8 = 4/1
4/1 = 20/x
4x = 20
x = 5
For the second question: 63/81 = 21/27
21/27 = 28/x
21x = 756
x = 36
Choose the rule to describe the transformation:
D(-3, -4), C(-3, -1), B(0, -4)
to
D '(3, -4), C '(3, -1), B '(0, -4)
a. reflection across the y-axis
b. reflection across y = -x
c. translation: (x,y)LaTeX: \longrightarrow⟶(x + 4, y)
d. reflection across y = x
Answers
Answer:
a. reflection across the y-axis
multiply 7/15 ,a 2 what is
answer
Answers
Rewrite with only sin x and cos x.
sin 2x - cos x
A. 2 sin x cos^2x
B. sin x
C. cos x (2 sin x - 1)
D. 2 sin x
Answers
Answer:
sin2x-cosx2sinx.cosx -cosxcosx (2sinx-1)Each day at the bakery, Jack bakes vakes and helps out at the counter. Make a scatter plot of the hours Jake spends at the counter as a function of the number of cakes he bakes. Draw the trend line, choose what type of correlation the scatter plot shows, choose what could be the equation for the data, and then lastly choose what the y-intercept of the line represents.
What type of correlation does the scatter plot show:
A. positive correlation
B. negative correlation
C. no correlation
D. cannot be determined
Which could be an equation of the trend line:
A. y = -0.5x + 5
B. y = -0.8x + 8
C. y = -0.5x + 3.5
D. y = -0.8x + 5
What does the y-intercept of the line represent:
A. average time it takes to bake one cake
B. average number of cakes per hour Jack can bake
C. total time spent baking cakes D. total number of hours Jack works each day
D. total number of hours Jack work each day
Answers
2 A
3 C
I hope this helps
Select the expressions that are equivalent to 8(6m).
Answers
[tex]\textsf{Hey there!}[/tex]
[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]
[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]
[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Amy is applying for a job in two companies. The given table shows the salary in dollars () that Company 1 is offering
if she works x hours. Company 2 is offering $12.50 per hour plus a bonus of $80. If she plans to work 40 hours each
week, in which company will she earn more money in a week and by how much more?
A)
She will earn $20 more in Company 1.
B)
She will earn $40 more in Company 1.
C)
She will earn $20 more in Company 2.
D)
She will earn $40 more in company 2.
Eliminate
Answers
Answer: B is the correct answer
Step-by-step explanation: Lol its B
C. What temperature is halfway between 3 degrees and -11degrees? And what is the mid point between -6 degrees and -10? And what is the midpoint between -60 degrees and 8 degrees?
Answers
Answer:
-4 is in between 3 and -11 is
-8 is in between -6 and -10
-26 is in between -60 and 8
25. Solve for x. 12x -15 = 129
O
x = 15
O
x=-12
O
x = 12
x= -15
Answers
Work shown in picture
If $350 is divided into two portions in the ratio 2 to 5 what is the smaller portion
Answers
The ratio is 2 : 5 and the smaller portion is 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = $ 350
Now , the ratio is 2 : 5
So , the total ratio is = 2x + 5x
= 7x
And, the value 7x = total amount
So , 7x = 350
Divide by 7 on both sides of the equation , we get
x = 50
So , the number 350 in the ratio 2 : 5 is 100 : 250
Hence , the smaller portion is 100
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
The measure of <1
I don’t understand how to solve
Answers
Answer:
<1=55°
Step-by-step explanation:
180-125=55
you need to raise at least $400 in order to go on a field trip. you are selling magazines for $12 each. you have already raised $124. how many magazines must you sell to meet your goal? write, solve and graph the inequality for this situation.
Answers
Answer:
44 magazines need to be sold
Step-by-step explanation:
Y=Mx+b
400=12x-124
524=12x
43.6667 or 43 (2/3)
round up since you cant sell 2/3 of a magazine
Answer:
the inequality is 124+12x≤400
Step-by-step explanation:
x=23
hope this helps
Matthew weighed 96 ounces at birth. His sister, Adrienne, weighed 7 pounds at birth. Who
weighed more and how many pounds more?
Answers
Answer:
A
Step-by-step explanation:
96 ounces = to 6 pounds
7-6=1
need the answer please thank you!
Answers
Answer:c
Step-by-step explanation:
C
Step-by-step-explanation
C